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astra-53 [7]
3 years ago
10

explain how to solve for the missing side from the similar figures given and solve. (do not just give the answer)

Mathematics
2 answers:
Paha777 [63]3 years ago
7 0

Answer:

x=14

Step-by-step explanation:

Since the triangles are similar, you first line up the sides. Then, because the 16 and the 24 line up together, you divide them to find out how much bigger the first triangle is, which is 3/2 or 1.5. After that, you can see that the 21 and the x are on the same side, so you would divide 21 by 1.5 or 3/2 to get x. 21÷1.5=14.

x=14

Juliette [100K]3 years ago
3 0

Answer: X= 14

Step-by-step explanation: line AC equals 21 and line BC equals 24, i put 24 over 21 like a fraction then i look at the smaller triangle now EF is proportionate too BC so next to the 24 i put 16 and line DF is X so you put X underneath 16 and next too 21. now you cross multiply and divide leaving you with 14 so line DF or X is 14

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4 0
3 years ago
Solve for a... u=k/a
Bond [772]
First, to multiplying by a from the both sides. 

au=k

Secondly, to divide by u from the both sides.

au/u as a fraction, and it equals to k/u as a fraction.

it equals a=k/u.

Answer is A. a=k/u.



3 0
4 years ago
Read 2 more answers
Subject : Maths<br> Level : High school<br> Topic : Surds<br> Points : 72
Mila [183]

Answer:

  • a = 5

Step-by-step explanation:

<u>Simplify:</u>

  • √5(√8 + √18) =
  • √5*8 + √5*18 =
  • √40 + √90 =
  • √4*10 + √9*10 =
  • 2√10 + 3√10 =
  • (2 + 3)√10 =
  • 5√10

<u>The value of a:</u>

  • a√10 = 5√10
  • a = 5
6 0
3 years ago
at a small private college with 800 students, 240 students receive some form of government-sponsored financial aid. find the pro
vazorg [7]

The probability is 7/10 or 70% that a randomly selected student does not receive some form of government-sponsored financial aid

Total number of students in the small private college = 800

Number of students who receive some form of government-sponsored financial aid = 240

Number of students who did not receive government-sponsored financial aid = 800 - 240 = 560

Computing the probability using the formula, we get the following:

The probability that a randomly selected student did not receive government-sponsored financial aid = Number of students who did not receive financial aid/Total number of students in the college

= 560/800 = 7/10 or 70%

Learn more about probability:

brainly.com/question/11234923

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3 0
2 years ago
Lex was chatting with his friends thomas and mike. He was wondering how much it will cost him to take a taxi from his house to w
UNO [17]

Answer:

$28.3

Step-by-step explanation:

x=rate for 1km

y=initial fee

Mike: $35 for 15km -> 35 = 15x + y

Thomas: $24.50 for 10km -> 24.50 = 10x + y

Using those two equations we see the following:

Mike paid $10.5 more for 5 more km. The initial fee remains unchanged, so we can calculate the rate for 1km, which is 10.5/5=2.1.

35 = 15x + y

24.50 = 10x + y

10.5 = 5x

2.1=x

Using that value with one of the original equations we can calculate the initial fee.

35 = 15x + y

35 = 15*2.1 + y

35 = 31.5 + y

3.5 = y

Mike paid 15*2.1=31.5 ($2.1 for every km) plus the initial fee, his total was $35.

We subtract the 31.5 from the 35(total) and get the initial fee, which is $3.5.

<u>Let's see what Lex will pay:</u>

Km travelled times 2.1 (the rate for 1km) plus 3.5 (the initial fee).

12*2.1 + 3.5 = 28.3

Lex will pay $28.3 for the same taxi company to travel 12 km.

6 0
3 years ago
Read 2 more answers
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